Search a number
-
+
122111202222 = 232461115312763
BaseRepresentation
bin111000110111001100…
…1010001001110101110
3102200012010202210111100
41301232121101032232
54000040431432342
6132032550503530
711552013043632
oct1615631211656
9380163683440
10122111202222
1147872654649
121b7ba964ba6
13b6906c8059
145ca58aadc2
15329a4d1e4c
hex1c6e6513ae

122111202222 has 48 divisors (see below), whose sum is σ = 265398941808. Its totient is φ = 40577034240.

The previous prime is 122111202221. The next prime is 122111202253. The reversal of 122111202222 is 222202111221.

It is a happy number.

It is a super-2 number, since 2×1221112022222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122111202195 and 122111202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111202221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9561213 + ... + 9573975.

It is an arithmetic number, because the mean of its divisors is an integer number (5529144621).

Almost surely, 2122111202222 is an apocalyptic number.

122111202222 is an abundant number, since it is smaller than the sum of its proper divisors (143287739586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122111202222 is a wasteful number, since it uses less digits than its factorization.

122111202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14385 (or 14382 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122111202222 its reverse (222202111221), we get a palindrome (344313313443).

The spelling of 122111202222 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 461 922 1153 1383 2306 2766 3459 4149 6918 8298 10377 12763 20754 25526 38289 76578 114867 229734 531533 1063066 1594599 3189198 4783797 5883743 9567594 11767486 14715739 17651229 29431478 35302458 44147217 52953687 88294434 105907374 132441651 264883302 6783955679 13567911358 20351867037 40703734074 61055601111 122111202222